Quantum-Classical Hybrid Algorithms for Complex Query Planning: A Scalable Computational Framework for High-Dimensional Decision Optimization in Heterogeneous Data Ecosystems

Authors

  • Parameswara Reddy Nangi Independent Researcher, USA. Author
  • Chaithanya Kumar Reddy Nala Obannagari Independent Researcher, USA. Author

DOI:

https://doi.org/10.63282/3050-9416.IJAIBDCMS-V7I2P143

Keywords:

Quantum-Classical Hybrid Computing, Query Optimization, Np-Hard Problems, Quantum Annealing, Variation Quantum Algorithms, Heterogeneous Data Ecosystems, Database Systems, Decision Optimization

Abstract

The rapidly increasing number of heterogeneous data ecosystems, such as structured databases, semi-structured data lakes, real-time streams, distributed knowledge graphs, has further complicated the issue of query planning and optimization in modern information systems extensively. The optimization of queries is essentially an NP-hard combinatorial problem especially when based on multi-join queries, distributed execution plan, dynamic cost model, and uncertainty in the data access patterns. Even decades of concept and engineering advances, classical database optimizers are rapidly becoming unable to offer a globally optimal execution plan when faced with high-dimensional data, high data volatility, with a very tight latency constraint. Good news Recent breakthroughs in quantum computing propose promising computational paradigms that can be used to solve combinatorial optimization problems via quantum parallelism, superposition, and entanglement. Nevertheless, even the near-term quantum hardware is limited in the number of available qubits, noise, and decoherence, making it impractical to achieve fully quantum database systems in any perceived future. This is also the reason why quantum-classical hybrid algorithms are being developed: designed to add quantum optimization subroutines to classical database architectures is guaranteed without breaking their compatibility with existing execution engines. The following paper presents a framework of scalable quantum-classical hybrid computing of complex query planning in heterogeneous data ecosystems. The framework breaks down query optimization into classical and quantum-amenable optimization, which allows NP-hard subproblems, such as join ordering, operator placement, and cost minimization, to be transformed into quantum optimization models such as Quadratic Unconstrained Binary Optimization (QUBO) and Ising Hamiltonians. Classical elements handle query parsing, semantic analysis, constraint verification, and orchestration, whereas quantum processors are called selectively to solve combinatorial decision-making tasks. The suggested architecture will consist of a layered execution, hybrid execution, cost-model encoding approach, and adaptive fallback mechanisms to make them robust to quantum hardware variability. This has been experimentally tested with simulated quantum annealing and variational quantum algorithms that exhibit a quantifiable improvement in the quality and scalability of optimization and heuristics based on entirely classical algorithms, especially in high-dimensional query plans. The findings confirm the practicability of quantum query optimization and put down a feasible route to implement quantum algorithms in the serving machine of the next-generation data management systems.

References

1. Selinger, P. G., Astrahan, M. M., Chamberlin, D. D., Lorie, R. A., & Price, T. G. (1979, May). Access path selection in a relational database management system. In Proceedings of the 1979 ACM SIGMOD international conference on Management of data (pp. 23-34).

2. Andreas, A., Mavromoustakis, C. X., Mastorakis, G., Bourdena, A., & Markakis, E. (2025). Quantum Computing in Semantic Communications: Overcoming Optimization Challenges With High-Dimensional Hilbert Spaces. IEEE Access.

3. Graefe, G. (1995). The cascades framework for query optimization. IEEE Data Eng. Bull., 18(3), 19-29.

4. Pratibha, & Mahmud, N. (2025). A Reconfigurable Framework for Hybrid Quantum–Classical Computing. Algorithms, 18(5), 271.

5. Chaudhuri, S. (1998, May). An overview of query optimization in relational systems. In Proceedings of the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems (pp. 34-43).

6. Raman, V., Swart, G., Qiao, L., Reiss, F., Dialani, V., Kossmann, D., ... & Sidle, R. (2008, April). Constant-time query processing. In 2008 IEEE 24th International Conference on Data Engineering (pp. 60-69). IEEE.

7. Stillger, M., Lohman, G. M., Markl, V., & Kandil, M. (2001, September). LEO-DB2's learning optimizer. In VLDB (Vol. 1, pp. 19-28).

8. Ortiz, J., Balazinska, M., Gehrke, J., & Keerthi, S. S. (2018, June). Learning state representations for query optimization with deep reinforcement learning. In Proceedings of the Second Workshop on Data Management for End-To-End Machine Learning (pp. 1-4).

9. Kraska, T., Beutel, A., Chi, E. H., Dean, J., & Polyzotis, N. (2018, May). The case for learned index structures. In Proceedings of the 2018 international conference on management of data (pp. 489-504).

10. Marcus, R., Negi, P., Mao, H., Zhang, C., Alizadeh, M., Kraska, T., ... & Tatbul, N. (2019). Neo: A learned query optimizer. arXiv preprint arXiv:1904.03711.

11. Hilprecht, B., Schmidt, A., Kulessa, M., Molina, A., Kersting, K., & Binnig, C. (2019). Deepdb: Learn from data, not from queries!. arXiv preprint arXiv:1909.00607.

12. Farhi, E., Goldstone, J., & Gutmann, S. (2014). A quantum approximate optimization algorithm. arXiv preprint arXiv:1411.4028.

13. Kadowaki, T., & Nishimori, H. (1998). Quantum annealing in the transverse Ising model. Physical Review E, 58(5), 5355.

14. Lucas, A. (2014). Ising formulations of many NP problems. Frontiers in physics, 2, 5.

15. Willsch, M., Willsch, D., Jin, F., De Raedt, H., & Michielsen, K. (2020). Benchmarking the quantum approximate optimization algorithm. Quantum Information Processing, 19(7), 197.

16. Preskill, J. (2018). Quantum computing in the NISQ era and beyond. Quantum, 2, 79.

17. Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., ... & Martinis, J. M. (2019). Quantum supremacy using a programmable superconducting processor. Nature, 574(7779), 505-510.

18. Guerreschi, G. G., & Smelyanskiy, M. (2017). Practical optimization for hybrid quantum-classical algorithms. arXiv preprint arXiv:1701.01450.

19. Jarke, M., & Koch, J. (1984). Query optimization in database systems. ACM Computing surveys (CsUR), 16(2), 111-152.

20. Fankhauser, T., Solèr, M. E., Füchslin, R. M., & Stockinger, K. (2021). Multiple query optimization using a hybrid approach of classical and quantum computing. arXiv preprint arXiv:2107.10508.

21. Fatunmbi, T. O. (2025). Quantum computing and artificial intelligence: Toward a new computational paradigm.

22. Kumar, A. (2025). Quantum Computing's Role in Advancing Sustainability. In Digital Transformation for Business Sustainability and Growth in Emerging Markets (pp. 85-114). Emerald Publishing Limited.

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Published

2026-05-31

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How to Cite

1.
Nangi PR, Reddy Nala Obannagari CK. Quantum-Classical Hybrid Algorithms for Complex Query Planning: A Scalable Computational Framework for High-Dimensional Decision Optimization in Heterogeneous Data Ecosystems. IJAIBDCMS [Internet]. 2026 May 31 [cited 2026 Jun. 11];7(2):328-36. Available from: https://ijaibdcms.org/index.php/ijaibdcms/article/view/609